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Chapter 22: 28 - Excercises And Problems (page 625)

What are the strength and direction of the electric field 4.0 cm from a small plastic bead that has been charged to -8.0 nC?

Short Answer

Expert verified

The strength of the electric field is $- 4.5 \times 10^{4} N / C$

Step by step solution

01

Given information

electron distance $d = 4.0 \times 10^{- 2} m$

the charge of an electron is given by $= - 8 \times 10^{- 9} C$

02

Explanation

The electric fieldis defined as the electric force per unit charge.

$\vec{E} = \frac{\vec{F^{'}}}{q}$

We want to find the electric field at a distance $d = 4.0 \times 10^{- 2} m$ . The electric field of a single point charge is given by $E = k_{e} \frac{Q}{d^{2}}$

$where k_{e} = 8.99 \times 10^{9} {Nm}^{2} C^{- 2}$

So, substituting, we find the electric field at the distance d:

$E = (8.99 \times 10^{9} {Nm}^{2} C^{- 2}) (\frac{- 8 .0 \cdot 10^{- 9} C}{(0.04 m)^{2}}) = - 4.5 \times 10^{4} N / C$

Therefore, the strength of the electric field is $- 4.5 \times 10^{4} N / C$

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Most popular questions from this chapter

A positive point charges $Q$ located at $x = a$ and a negative point charge $- Q$ is at $x = - a$ .A positive charge $q$ can be place anywhere on the $y$ - axis. Find an expression for ${(F_{net})}_{x}$ , the component of the net force on $q$ .

A massless spring is attached to a support at one end and has a 2.0 mC charge glued to the other end. A -4.0 mC charge is slowly brought near. The spring has stretched 1.2 cm when the charges are 2.6 cm apart. What is the spring constant of the spring?

An electric dipole consists of two opposite charges $\pm q$ separated by a small distance s. The product $p = q s$ is called the dipole moment. FIGURE P22.60 shows an electric dipole perpendicular to an electric field $\vec{E}$ . Find an expression in terms of p and E for the magnitude of the torque that the electric field exerts on the dipole.

In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius $0.053 nm$ around a stationary proton. How many revolutions per second does the electron make?

What are the electric fields at points 1, 2, and 3 in FIGURE P22.64? Give your answer in component form.

See all solutions

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